# How do you solve the system of equations #3x + 5y - 30 = 0# and #x - y - 2 = 0#?

Solve the equation (2) for

Substitute the value of

Simplify

Substitute

Simplify -

Watch this video

By signing up, you agree to our Terms of Service and Privacy Policy

To solve the system of equations:

[ 3x + 5y - 30 = 0 ] [ x - y - 2 = 0 ]

First, solve the second equation for ( x ):

[ x = y + 2 ]

Now substitute this expression for ( x ) into the first equation:

[ 3(y + 2) + 5y - 30 = 0 ]

Simplify and solve for ( y ):

[ 3y + 6 + 5y - 30 = 0 ] [ 8y - 24 = 0 ] [ 8y = 24 ] [ y = 3 ]

Now that we have the value of ( y ), substitute it back into ( x = y + 2 ):

[ x = 3 + 2 ] [ x = 5 ]

So the solution to the system of equations is ( x = 5 ) and ( y = 3 ).

By signing up, you agree to our Terms of Service and Privacy Policy

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

- How much water must be added to 12 L (liters) of a 40% solution of alcohol to obtain a 30% solution?
- How do you solve #3x+y=16# and #2x+y=11#?
- How do you check to see that (1, 4) is a solution to #y=3x-2# and #y=-x#?
- How do you solve the following linear system: # x-2y+z=-14, y-2z=7, 2x+3y-z=-1 #?
- How do you solve the system of equations #2x-3y=6# and #3y-2x=-6#?

- 98% accuracy study help
- Covers math, physics, chemistry, biology, and more
- Step-by-step, in-depth guides
- Readily available 24/7